Difference Equations And Inequalities
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Author | : Ravi P Agarwal |
Publisher | : CRC Press |
Total Pages | : 1000 |
Release | : 2019-08-30 |
Genre | : |
ISBN | : 9780367398941 |
A study of difference equations and inequalities. This second edition offers real-world examples and uses of difference equations in probability theory, queuing and statistical problems, stochastic time series, combinatorial analysis, number theory, geometry, electrical networks, quanta in radiation, genetics, economics, psychology, sociology, and other disciplines. It features 200 new problems, 400 additional references, and a new chapter on the qualitative properties of solutions of neutral difference equations.
Author | : R.P. Agarwal |
Publisher | : Springer Science & Business Media |
Total Pages | : 517 |
Release | : 2013-04-17 |
Genre | : Mathematics |
ISBN | : 9401588996 |
. The theory of difference equations, the methods used in their solutions and their wide applications have advanced beyond their adolescent stage to occupy a central position in Applicable Analysis. In fact, in the last five years, the proliferation of the subject is witnessed by hundreds of research articles and several monographs, two International Conferences and numerous Special Sessions, and a new Journal as well as several special issues of existing journals, all devoted to the theme of Difference Equations. Now even those experts who believe in the universality of differential equations are discovering the sometimes striking divergence between the continuous and the discrete. There is no doubt that the theory of difference equations will continue to play an important role in mathematics as a whole. In 1992, the first author published a monograph on the subject entitled Difference Equations and Inequalities. This book was an in-depth survey of the field up to the year of publication. Since then, the subject has grown to such an extent that it is now quite impossible for a similar survey, even to cover just the results obtained in the last four years, to be written. In the present monograph, we have collected some of the results which we have obtained in the last few years, as well as some yet unpublished ones.
Author | : R. P. Agarwal |
Publisher | : |
Total Pages | : 412 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9789401584272 |
Author | : B.G. Pachpatte |
Publisher | : CRC Press |
Total Pages | : 546 |
Release | : 2001-12-13 |
Genre | : Mathematics |
ISBN | : 9780824706579 |
"A treatise on finite difference ineuqalities that have important applications to theories of various classes of finite difference and sum-difference equations, including several linear and nonlinear finite difference inequalities appearing for the first time in book form."
Author | : |
Publisher | : Elsevier |
Total Pages | : 623 |
Release | : 1997-11-12 |
Genre | : Mathematics |
ISBN | : 0080534643 |
Inequalities for Differential and Integral Equations has long been needed; it contains material which is hard to find in other books. Written by a major contributor to the field, this comprehensive resource contains many inequalities which have only recently appeared in the literature and which can be used as powerful tools in the development of applications in the theory of new classes of differential and integral equations. For researchers working in this area, it will be a valuable source of reference and inspiration. It could also be used as the text for an advanced graduate course. Covers a variety of linear and nonlinear inequalities which find widespread applications in the theory of various classes of differential and integral equations Contains many inequalities which have only recently appeared in literature and cannot yet be found in other books Provides a valuable reference to engineers and graduate students
Author | : Ravi P. Agarwal |
Publisher | : CRC Press |
Total Pages | : 1010 |
Release | : 2000-01-27 |
Genre | : Mathematics |
ISBN | : 9781420027020 |
A study of difference equations and inequalities. This second edition offers real-world examples and uses of difference equations in probability theory, queuing and statistical problems, stochastic time series, combinatorial analysis, number theory, geometry, electrical networks, quanta in radiation, genetics, economics, psychology, sociology, and
Author | : Walter G. Kelley |
Publisher | : Academic Press |
Total Pages | : 403 |
Release | : 2001 |
Genre | : Mathematics |
ISBN | : 9780124033306 |
Difference Equations, Second Edition, presents a practical introduction to this important field of solutions for engineering and the physical sciences. Topic coverage includes numerical analysis, numerical methods, differential equations, combinatorics and discrete modeling. A hallmark of this revision is the diverse application to many subfields of mathematics. * Phase plane analysis for systems of two linear equations * Use of equations of variation to approximate solutions * Fundamental matrices and Floquet theory for periodic systems * LaSalle invariance theorem * Additional applications: secant line method, Bison problem, juvenile-adult population model, probability theory * Appendix on the use of Mathematica for analyzing difference equaitons * Exponential generating functions * Many new examples and exercises
Author | : V. Lakshmikantham |
Publisher | : Academic Press |
Total Pages | : 405 |
Release | : 1969 |
Genre | : Computers |
ISBN | : 0080955630 |
This volume constitutes the first part of a monograph on theory and applications of differential and integral inequalities. 'The entire work, as a whole, is intended to be a research monograph, a guide to the literature, and a textbook for advanced courses. The unifying theme of this treatment is a systematic development of the theory and applicationsof differential inequalities as well as Volterra integral inequalities. The main tools for applications are the norm and the Lyapunov functions. Familiarity with real and complex analysis, elements of general topology and functional analysis, and differential and integral equations is assumed.
Author | : Sui Sun Cheng |
Publisher | : CRC Press |
Total Pages | : 284 |
Release | : 2003-02-06 |
Genre | : Mathematics |
ISBN | : 9780415298841 |
Partial Difference Equations treats this major class of functional relations. Such equations have recursive structures so that the usual concepts of increments are important. This book describes mathematical methods that help in dealing with recurrence relations that govern the behavior of variables such as population size and stock price. It is helpful for anyone who has mastered undergraduate mathematical concepts. It offers a concise introduction to the tools and techniques that have proven successful in obtaining results in partial difference equations.
Author | : Yuming Qin |
Publisher | : Birkhäuser |
Total Pages | : 1000 |
Release | : 2016-10-08 |
Genre | : Mathematics |
ISBN | : 3319333011 |
This book focuses on one- and multi-dimensional linear integral and discrete Gronwall-Bellman type inequalities. It provides a useful collection and systematic presentation of known and new results, as well as many applications to differential (ODE and PDE), difference, and integral equations. With this work the author fills a gap in the literature on inequalities, offering an ideal source for researchers in these topics. The present volume is part 1 of the author’s two-volume work on inequalities. Integral and discrete inequalities are a very important tool in classical analysis and play a crucial role in establishing the well-posedness of the related equations, i.e., differential, difference and integral equations.